On p-schemes with the same degrees of thin radical and thin residue

Authors : Fatemeh RAEI BARANDAGH, Amir RAHNAMAI BARGHI

Pages : 103-111

Doi:10.3906/mat-1402-76

View : 9 | Download : 5

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :Let p and n>1 be a prime number and an integer, respectively. In this paper, first we show that any p-scheme whose thin radical and thin residue are equal is isomorphic to a fission of the wreath product of 2 thin schemes. In addition, we characterize association p-schemes whose thin radical and thin residue each have degree equal to p. We also characterize association p-schemes on pn points whose thin radical and thin residue each have degree equal to pn-1, and whose basis relations each have valency 1 or pn-1. Moreover, we show that such schemes are Schurian.
Keywords : Association scheme, p scheme, thin radical, thin residue